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A Volume Inequality Concerning Sections of Convex Sets
Author(s) -
Meyer Mathieu
Publication year - 1988
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/20.2.151
Subject(s) - mathematics , inequality , volume (thermodynamics) , regular polygon , mathematical economics , mathematical analysis , pure mathematics , geometry , physics , quantum mechanics
We give a lower estimate of the volume of a compact convex subset of R n in terms of the volumes of its sections by n pairwise orthogonal affine hyperplanes.